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Finding the Third Proportional to 242,173,655,394.75 and 518,890,075,692.18

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Solution

The third proportional to 242,173,655,394.75 and 518,890,075,692.18 is: 1,111,792,734,899.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,173,655,394.75 : 518,890,075,692.18 = 518,890,075,692.18 : x
  2. Step 2: Convert to fraction form
    242,173,655,394.75/518,890,075,692.18 = 518,890,075,692.18/x
  3. Step 3: Cross multiply
    242,173,655,394.75x = 518,890,075,692.18 × 518,890,075,692.18
  4. Step 4: Simplify right side
    242,173,655,394.75x = 269,246,910,651,836,284,272,640
  5. Step 5: Solve for x
    x = 269,246,910,651,836,284,272,640/242,173,655,394.75
  6. Step 6: Final answer
    x = 1,111,792,734,899.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.